# COMPUTATIONAL TODO ***MOVE EVERYTHING HERE OVER TO ISSUES IN THE GITHUB TRACKER*** ## Completed steps - implement 'launch function as a function' portion - substitute the transition functions into the optimality conditions. ## Next steps - create the iterated optimality conditions - attach iterated state variables to iterated transitons - use these state variables to calculate the optimality condition values - use these optimality conditions to create a loss function - Thoughts on converting my `connect_transitions_to_otimality_conditions` work to this. I need to import torch into that section, and build a loss function. - The basics of this model - Use just a basic MSELoss wrapped so that it calculates - add boundary conditions to loss function - get a basic gradient descent/optimization of launch function working. - add satellite deorbit to model. - turn this into a framework in a module, not just a single notebook (long term goal) - turn testing_combined into an actual test setup - change prints to assertions - turn into functions - add into a testing framework - this isn't that important. ## CONCERNS So I need to think about how to handle the launch functions. Currently, my launch function takes in the stocks and debris levels and returns a launch decision for each constellation. This is nice because it keeps them together, but it may require some thoughtful NeuralNetwork design later. The issue is that I need to set up a way to integrate multiple firms at the same time. This may be possible through how I set up the profit funcitons. Also, I think I need to write out some # Scratch work Writing out the functional forms that need to exist and the inheritance - Euler equation - Optimality Conditions - Transition functions - Loss function - Bounds - Euler equations - Neural net launch function Launch & Retire (a neural network) NN(states) -> launch & deorbit decisions Euler Equations EE(NN, states) -> vector of numbers Consists of Iterated_Optimality(Iterated_Value_Derivatives(NN), Iterated_States(NN)) Loss Function L(EE, Bounds, NN, States) -> positive number